RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Tr. MIAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Tr. Mat. Inst. Steklova, 2018, Volume 300, Pages 86–94 (Mi tm3856)  

Evolution of a condensation surface in a porous medium near the instability threshold

A. T. Il'icheva, G. G. Tsypkinb

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526 Russia

Abstract: We consider the dynamics of a narrow band of weakly unstable and weakly nonlinear perturbations of a plane phase transition surface separating regions of soil saturated with water and with humid air; during transition to instability, the existing stable position of the phase transition surface is assumed to be sufficiently close to another phase transition surface that arises as a result of a turning point bifurcation. We show that such perturbations are described by a Kolmogorov–Petrovskii–Piskunov type equation.

Funding Agency Grant Number
Russian Science Foundation 16-11-10195
This work is supported by the Russian Science Foundation under grant 16-11-10195.


DOI: https://doi.org/10.1134/S0371968518010065

Full text: PDF file (186 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 300, 78–85

Bibliographic databases:

Document Type: Article
UDC: 532.546
Received: September 4, 2017

Citation: A. T. Il'ichev, G. G. Tsypkin, “Evolution of a condensation surface in a porous medium near the instability threshold”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Tr. Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 86–94; Proc. Steklov Inst. Math., 300 (2018), 78–85

Citation in format AMSBIB
\Bibitem{IliTsy18}
\by A.~T.~Il'ichev, G.~G.~Tsypkin
\paper Evolution of a~condensation surface in a~porous medium near the instability threshold
\inbook Modern problems and methods in mechanics
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov
\serial Tr. Mat. Inst. Steklova
\yr 2018
\vol 300
\pages 86--94
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3856}
\crossref{https://doi.org/10.1134/S0371968518010065}
\elib{http://elibrary.ru/item.asp?id=32659277}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2018
\vol 300
\pages 78--85
\crossref{https://doi.org/10.1134/S0081543818010066}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000433127500006}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047569434}


Linking options:
  • http://mi.mathnet.ru/eng/tm3856
  • http://mi.mathnet.ru/eng/tm/v300/p86

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:47
    References:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018